well, you can figure it out by substituting the x and y values into the equation and then solving
4=2(4)-4
4=8-4
4=4 so yes the point (4,4) does lie on the line y=2x-4
Answer: 1. y = 2(x + 4)² - 3
<u>Step-by-step explanation:</u>
Notes: The vertex form of a parabola is y = a(x - h)² + k
- (h, k) is the vertex
- p is the distance from the vertex to the focus
1)
Now input a = 2 and (h, k) = (-4, -3) into the equation y = a(x - h)² + k
y = 2(x + 4)² - 3
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2)
Now input a = -1/3 and (h, k) = (-8, -7) into the equation y = a(x - h)² + k
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3)
The midpoint of the focus and directrix is the y-coordinate of the vertex:
The x-coordinate of the vertex is given in the focus as 7
(h, k) = (7, 1)
Now let's find the a-value:
Now input a = -1/2 and (h, k) = (7, 1) into the equation y = a(x - h)² + k
Answer:
look at the picture i have sent
5 oz for 1.49.....1.49/5 = 0.298 per oz
12 oz for 3.59...3.59/12 = 0.299 per oz
when rounded, the unit rates are equal
1. Multiply all the x and y by 2
M (-6,4)
A (-4,6)
T (-2,4)
H (-4,2)
2. They stayed in the same quadrants. The x and y values shifted.
3. Scale factor of 1/2
4. .....mayhaps?